Q: What are the factor combinations of the number 18,283,727?

 A:
Positive:   1 x 182837277 x 261196111 x 166215777 x 237451101 x 181027707 x 258611111 x 164572351 x 7777
Negative: -1 x -18283727-7 x -2611961-11 x -1662157-77 x -237451-101 x -181027-707 x -25861-1111 x -16457-2351 x -7777


How do I find the factor combinations of the number 18,283,727?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 18,283,727, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 18,283,727
-1 -18,283,727

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 18,283,727.

Example:
1 x 18,283,727 = 18,283,727
and
-1 x -18,283,727 = 18,283,727
Notice both answers equal 18,283,727

With that explanation out of the way, let's continue. Next, we take the number 18,283,727 and divide it by 2:

18,283,727 ÷ 2 = 9,141,863.5

If the quotient is a whole number, then 2 and 9,141,863.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 18,283,727
-1 -18,283,727

Now, we try dividing 18,283,727 by 3:

18,283,727 ÷ 3 = 6,094,575.6667

If the quotient is a whole number, then 3 and 6,094,575.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 18,283,727
-1 -18,283,727

Let's try dividing by 4:

18,283,727 ÷ 4 = 4,570,931.75

If the quotient is a whole number, then 4 and 4,570,931.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 18,283,727
-1 18,283,727
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

1711771017071,1112,3517,77716,45725,861181,027237,4511,662,1572,611,96118,283,727
-1-7-11-77-101-707-1,111-2,351-7,777-16,457-25,861-181,027-237,451-1,662,157-2,611,961-18,283,727

More Examples

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